论文标题
扭曲的群体延伸的C* - 代数
The C*-algebra of a twisted groupoid extension
论文作者
论文摘要
本文将出版物Arxiv：2001.01312的主要结果扩展到了扭曲的类固醇。更确切地说，在存在正常亚组的存在下，它给出了与HAAR系统扭曲的局部紧凑型组的C* - 代数分解。当正常的亚组及其上的扭曲是Abelian时，就会获得另一个扭曲的c.*-ergebra。这应用于C* - 代数变形量化和局部紧凑的Abelian组的乘数表示。
This article extends the main results of the publication arXiv:2001.01312 to the case of a twisted groupoid. More precisely, it gives a decomposition of the C*-algebra of a twisted locally compact groupoid with Haar system in presence of a normal subgroupoid. When the normal subgroupoid and the twist over it are abelian, one obtains another twisted groupoid C*-algebra. This is applied to C*-algebraic deformation quantization and to multiplier representations of locally compact abelian groups.
